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Finding the Fourth Proportional to 680,973.44, 1,020,079.64 and 315,722

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Solution

The fourth proportional to 680,973.44, 1,020,079.64 and 315,722 is: 472,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,973.44 : 1,020,079.64 = 315,722 : x
  2. Step 2: Convert to fraction form
    680,973.44/1,020,079.64 = 315,722/x
  3. Step 3: Cross multiply
    680,973.44x = 1,020,079.64 × 315,722
  4. Step 4: Simplify right side
    680,973.44x = 322,061,584,100.08
  5. Step 5: Solve for x
    x = 322,061,584,100.08/680,973.44
  6. Step 6: Final answer
    x = 472,942.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.